Solving Equations with 2 Variables

Learn how equations with two variables work, like x+2y=20x + 2y = 20, and how to find solutions using substitution and graphs. Let's get started! 🚀

Solving Equations with 2 Variables - introduction visual

Video Lesson

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Flashcards

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Using the equation x + 2y = 20 to illustrate prices of items with various solutions for variables x and y, illustrating multiple solutions.Solving the equation 10 + 2y = 20 by plugging in x = 10 and finding y = 5, illustrating linear equations in two variables."Graphical solution of the system of equations y = -0.5x + 10 and x + 2y = 20 with highlighted intersection point (8, 6).

🛎️ Equations with Two Variables

  • An equation like x + 2y = 20 has two unknowns.
  • There are many solutions because lots of number pairs can work.

🛎️ Solving by Substitution

  • Substitute the value you know into the equation to solve for the other variable.
  • For example, if x = 10, substitute it in x + 2y = 20 to get 10 + 2y = 20. Solving for y, we get y = 5.

🛎️ Solving Graphically

  • Rewrite the equation x + 2y = 20 as y = −0.5x + 10 to draw the line.
  • This means every point on the line is a solution to the equation.
  • The point (8, 6) is a solution because it lies on the line.

Practice Questions

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Interactive Activity

Solving equations with 2 variables

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